Question

Five students appeared for an examination. The average mark obtained by these five students is 40. The maximum mark of the examination is 100, and each of the five students scored more than 10 marks. However, none of them scored exactly 40 marks. Based on the information given, which of the following MUST BE true?

• A. At least, three of them scored a maximum of 40 marks
• B. At least, three of them scored more than 40 marks
• C. At least, one of them scored exactly 41 marks
• D. At most, two of them scored more than 40 marks
• E. At least, one of them scored less than 40 marks

Answer 1

Answer: (E)

At least, one of them scored less than 40 marks

Answer 2

As there are 5 students with an average of 40 marks and none of them scored exactly 40 marks, so at least one person must score less than 40 marks and at least one person must score more than 40 marks.
Hence, option E is the correct answer.